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Simplifying 2(4y + -3) + -6(9y + 4) = 0 Reorder the terms: 2(-3 + 4y) + -6(9y + 4) = 0 (-3 * 2 + 4y * 2) + -6(9y + 4) = 0 (-6 + 8y) + -6(9y + 4) = 0 Reorder the terms: -6 + 8y + -6(4 + 9y) = 0 -6 + 8y + (4 * -6 + 9y * -6) = 0 -6 + 8y + (-24 + -54y) = 0 Reorder the terms: -6 + -24 + 8y + -54y = 0 Combine like terms: -6 + -24 = -30 -30 + 8y + -54y = 0 Combine like terms: 8y + -54y = -46y -30 + -46y = 0 Solving -30 + -46y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -46y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -46y = 0 + 30 -46y = 0 + 30 Combine like terms: 0 + 30 = 30 -46y = 30 Divide each side by '-46'. y = -0.652173913 Simplifying y = -0.652173913
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